{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0f0f2c80",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Welcome to JupyROOT 6.26/02\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from grand import galactic_noise\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "params = {\n",
    "    \"legend.fontsize\": 14,\n",
    "    \"axes.labelsize\": 22,\n",
    "    \"axes.titlesize\": 23,\n",
    "    \"xtick.labelsize\": 20,\n",
    "    \"ytick.labelsize\": 20,\n",
    "    \"figure.figsize\": (8, 6),\n",
    "    \"axes.grid\": False,\n",
    "}\n",
    "plt.rcParams.update(params)\n",
    "\n",
    "freq_MHz = np.arange(30, 251, 1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "578071d3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Galactic noise at LST 18h.\n",
      "Galactic noise at LST 17h.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Note: noise_file\n",
    "#       noise_file = h5py.File(\"grand/data/model/sky/30_250galactic.mat\")\n",
    "#       noise_file.keys() = ['freq_all', 'p_narrow', 'p_narrow_huatu', 'psd_narrow_huatu', 'v_amplitude']\n",
    "\n",
    "# galaxy_radio_signal(f_lst, size_out, freqs_mhz, nb_ant, show_flag=False)\n",
    "lst      = 18 # input is float. It will be converted to int.\n",
    "size_out = 20\n",
    "freq_MHz = np.arange(30, 251, 1)\n",
    "nb_ant   = 300\n",
    "idx_du   = 44\n",
    "seed     = 0  # If you want to generate the same random numbers for galactic noise. 'None' means seed is not used.\n",
    "\n",
    "print(\"Galactic noise at LST 18h.\")\n",
    "fft_noise_gal_3d_lst18 = galactic_noise(lst, size_out, freq_MHz, nb_ant, seed)\n",
    "\n",
    "print(\"Galactic noise at LST 17h.\")\n",
    "fft_noise_gal_3d_lst17 = galactic_noise(17, size_out, freq_MHz, nb_ant, seed)\n",
    "\n",
    "noise_lst18 = np.real(fft_noise_gal_3d_lst18)[idx_du,0,:]    # real value for du_indx=44\n",
    "noise_lst17 = np.real(fft_noise_gal_3d_lst17)[idx_du,0,:]\n",
    "noise_diff = noise_lst18 - noise_lst17\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(211)\n",
    "plt.plot(freq_MHz, noise_lst18, label=\"LST=18\", color='r', alpha=0.8)\n",
    "plt.plot(freq_MHz, noise_lst17, label=\"LST=17\", color='b', alpha=0.8)\n",
    "plt.ylabel(\"Noise\")\n",
    "plt.legend()\n",
    "plt.grid(ls='--', alpha=0.3)\n",
    "\n",
    "plt.subplot(212)\n",
    "plt.plot(freq_MHz, noise_diff, color='k', alpha=0.8)\n",
    "plt.xlabel(\"Frequency [MHz]\")\n",
    "plt.ylabel(\"Noise Difference\")\n",
    "plt.grid(ls=\"--\", alpha=0.4)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "edd48ef2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
